Lina and josh each made a factor tree to find the prime factorization of 126. lana josh 126 / \  3 42    / \ 6 7  / \ 2 3josh  126/    \2  63    /    \  9    7which statement explains the accuracy of the students’ work? a)lina’s solution is correct because it expresses 126 as a product of prime factors. b)josh’s solution is correct because the factor tree of every even number must begin with 2 and its factor pair. c)both solutions are correct because they both express 126 as a product of factors. d)neither solution is correct because the factor tree should have begun with 6 and 21.

Lina’s solution is correct because it expresses 126 as a product of prime factors.

Step-by-step explanation:

Given :

Lina             Josh      

126                 126

/ \                     /   \

3 42                2  63

/ \                          /   \

6 7                       9   7

/ \

2 3

Solution:

Since Josh didn't solved it further as 9 can be written as  further.

So, Josh's solution is incorrect.

Hence option A is correct.

Lina’s solution is correct because it expresses 126 as a product of prime factors.

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

because i took test

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).